Question
If the angles of triangle are in the ratio 1:1:4 then ratio of the perimeter of triangle to its largest side
![square root of 3 plus 2 colon square root of 2](data:image/png;base64,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)
![square root of 3 plus 2 colon square root of 3](data:image/png;base64,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)
![square root of 2 plus 2 colon square root of 3](data:image/png;base64,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)
- 3:2
Hint:
The law of sines says that the ratio of the sine of one angle to the opposite side is the same ratio for all three angles
.
The correct answer is: ![square root of 2 plus 2 colon square root of 3](data:image/png;base64,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)
![T h e space a n g l e s space o f space t h e space t r i a n g l e space A B C space a r e space d e n o t e d space b y space A comma space B comma space C space a n d space t h e space c o r r e s p o n d i n g space o p p o s i t e space s i d e s space b y space a comma space b comma space c.
s o space W e space k n o w space t h a t comma space
fraction numerator a over denominator sin space A end fraction space equals space fraction numerator b over denominator sin space B end fraction space equals space fraction numerator c over denominator sin space C end fraction space equals 2 R](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAx4AAABUCAYAAAAMEeGpAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAqG59bSAAAFR5JREFUeNrtnX2kV9n6wJfjSJJIkmREMpL5I0aSkUSuJEmMZCRH5BrXyIiMJBlDMkaSHxlJkjhyXCP5kRxJxnAlGUnkGiMjcSQ5kjh3Pe3nW/usWXvvZ799Xz8fHud8135Zz3rWs9fLXi/bOeh3xryswAwAAAAAMCyN27de5nLkrZ4nzKb+Hyb6LV07vMyo/O5lfAjS1G96taXHkYLjb7y88/KHl6defvGyMnLeGi9nvDxQXeX8770s5dkamHR1M+1HGrqP1T+t9LMf18mfYfXrYSaWZ+Tj4Pq/VYdu6ToovtR3en6qFUSMtV4eDuED1G/pkk7GMy8b9Pf6At3v9SBNWfEOiq3b0mOfdtTHc+INny9phF0Kwo56ueFlS6qA+EQbl5d4trriq3XT1c20F/ldmXRZ/NNKP/uxNQ/v9alfQ/38Jh+bsWUbZWxTdUu38nhQfKkv9dzr5WrGsT1erg3hQ9Rv6dpbQp+s/Go7TXl+Mqp5vlQf6Ft6/6x4rxbY8piXn3m2+tpXLenqVtotflcmXVcbsl+/+7Elf3pVvsLw1/PDRD+3B7qV74PiX32p5ymXvKWKcVIrk2VefvLy3CVTgb6JnCtrE667ZNhehta3GuIe0/jlvvL2Tt68rY7ocFTvL2/MZnN0WOSSIf4Xqofoc17TEEtXWf2P6zGZljAXuUeM5V4uenmt977sZaFBn6z8SE+JO9alvLLE+08v/9F7HstJ26DleR4XvOz3clDjzHuG0ogP7ND/ZcRRprdUfXNttWdeHlW1w2Iv57y8LLB90f3L5HfR85Tnq9a0WtMVy+vjmh9/6bXTbv60JdF9X+RaGRH4oUG/s1Lkn1a65cdWP6mSh70qX9M6S1n2TG0w5eZPTytTl8Se9SbKgbw60OL/ZdPSdH6fjOjcdF1Tpx1gsV/Tdra0bU4GflS3jHU1dWi6DqrSvmuzvLeUh2XKeKu/uIbKqkIkM3ZnHJtUpe/qOWKMVar4otR5S/QNXOc+MlXod0PcN9Rpluq9JyNv8Ca1ELikzpKlg1R4d9RZxlW+VSeK3XNPSf2P69u8BRXeTE6o3ku053kmdc5U8BDvL7jnZMZbzrbzKi9ecb4fXTK3u+i6QcrzPDZrWjqF2tMCu0kaNmhBlJ6b/6OrN1ffas+sPKpqhzEtvNK+3amQytrZmt+W5ynPVy26WNOVlddP1R87+fFT8LbpYERfSeMTbdQ25XdWivzTSrf82OIndfOwF+WrVOT3tTGyROsZaRDvquD7Wc963XKgqA60+H/ZtDSd32H+tlHXuBrptdivaTtb2jYxu1UtY7M6HWV1aLIOqtK+a7O8t5SHTepZttORV1aZeJrT83miBlgchM8ERhPDfhcxXF4m7leDhG/adkZ0OBy5PtThREYP8kkkfU+0cCmjv8xn3F4yg85o4ZRmjcaf5rFL5kFbeJzR820zr4ri3ZtzXdrWg5bnWYzrG8N0nsmDuC5Dl06n8nXkTfIjl8zBrEIZe+7N8dEqdjiR8Uaoip2t+V3meVpdMa3WdGX5+vpIRfwq9XtnJM9OarxN+p2VIv+00i0/tpYLVfOwV+XraW1o1K1L8p71uuVAUR1o8f+yaWk6v8OwNuqaOnlnsV/Tdra0bUK71SljY1TRock6qEr7rq3y3loeNqlnGYrKKlNF9jrnjebroNffuWY2OE+GuZYHYa9c/ir6aX17l+ZO4MxjGfqFOgh/RXqQsevHKur/pVbyu422lWtlSDYc1lyo8WXpU3TP2R7kVV68syWuG7Q8z6IzPJ9GKqWvc3RZoAXbry6ZltI5/qbG82u152xO/lS1w5+RRlgVO1vzu+7zZE2rJV1lnpGFQQG/LHjbtlxf/ixs0O9cifIkzz/L3KcbfmwtF5rOw26Ury9c9lSFJuqSJsqBvDrQ6v9l0tJ0fsfKp6brmqbzLma/Ju1sadvE7FanjI1RVocm66Cq7bu2yntLeega1rPM/fLKKhObNZExNnm5bbhmk4tvyVu040G4vVfsId6UoV+ow+cuGQJ3hus31dB/pcYzHXH4EKtOm3LyIHbtnR7kVV680wXXTQ94noes0wIqRIbpfzHky1fu49DrghpvHeras44dNhj9wXL/pvM7z1eLdNlQ0c+L0nE7km8dZMj7SMN+50qUJ3n+aaWXfhz6Sd087EX5ujHDt5usS5oqB7LqQKv/101LnfyuGkeZuqbpvAvt17SdLW2bJsvYPMro0GQdVKV912Z5bykPy5TxVj0tFJVVJmRI51LJY2G49BAnK8T9Ivj9RaRiteogw8dXjGmoq7/0FGW+4IGC87LuGy4qysuDWHou9yCvysabdXxQ8zzNXZf//ZvxIN6LwfXiN+mdf2JvUrvxDNWxg9X2lvvX9d3Y83S5YlrL+JT1HJnqcCLiQ2tUnjrbKFsZvyvzXBf5p5Ve+XGdcqFfyleZQjHVcl3SZDkQqwOt/l83LU3WA93wqbrpDe3XtJ0tbZuY3S434Ed1dGiyDqrSvmuzvLeUh3Xb+DE9myirTMg8rUM5xyYM10jP6bcKcT9z84ebxAjXjfqF4eJcsYUyVyLXy7WHa+p/Ud8M5iFzpW8GYeJwj9z8OdmhPnmc9fKvHuRVXryHSvjXIOe503uczTl+zc2fhxnLl4tu/gYC8vtoxee3jj3r2GFPRmF+pYKdrfltfZ6yfNWiizVd1vJygVZi4Rzwy+q/Vw0VXBW/K1P+F/lnmTKxF34chtfJw16Vr/J2+nFDdcmhCnV9E3Wg1f/rpqVOfofXtlHX1Mk7i/2atrOlbRPao04ZW7V9VTXf22rftVneW8rDOmV8lp5NlFUmpnIqrKxjsfBH2pMWx5a5X7KQZ0tB3PKRqgt6zWrNlJsVdZCFMrLtWOcDfBs0oyQDtzas/0Y9v2gHms5HATsr/Vdp3MdL5EHI+cgbym7kVdl4s44Pap47fUjlYc0bgj0UNBCn3MfFujK3U+aRPnDzF7WJHWY0/qWpty671ObbW3qG6vjDIr1uQ6owuqG2L2tna35bn6csX7XoUiZdMX2fpPKro99ExlvHi872UacqfieNJMsOThb/tN6rV34chtfJw16Vr07t/oP6+RK9xxcN1iVNlgOxOtDq/3XTUie/w2vbqGvqtAMs9mvazpa2TWiPOmVsEVYdmqyDqrTv2irvreWhtWwuo6e1rM8rqzp0RuOjzLjsRS5Zx2LhMoQkw0nvNNMOGQ18XHutJ/Sez4NEl9FBepSyB7NMO5CdX/7hkiGrsQb0f6lGlOPTzr6LzBa931vtJU6UzIOQ9fpgzQWNg7bzqmy8eccHJc9DJl3xdnGr3PwdQ2ZSD+AbfbBju+qs1bcir/Tcl1qx7WzxGar77K7QAkzSJQuSt1W0c5n8tjxPWb5qTas1XSHP1R+f6P0fuPyPSs4520LGKn5nrUAs/mm9V6/8OBZeNQ97Vb4KslPZHb3uYeS6unVJ3XKgqA6c0fyy+H+dtNTJ7zCsjbqmTnot9mvazpa2TWiPumVsEzo0WQdVad+1Vd5by0Nr2VxGT2tZX1RWFXY8+o3lDd7rM9f/X5WU9P7lRptRy/NBsie0w26tKNuk6vSrtu+FHw8fC7TBN0o0WddY7TeKdqa8zy8Pmy6be1HWDyzSQ/0/93HOmgyX3XP19rdvm7P6FuI02TcyeQ4gyLD55hbvL9MPZAvH8T67FwwnjSw4HeG6xmq/Ybcz5X1vy2bK+pLI/GdZRCM7q8xqRn/W5zrLnMS9ZN1I5TmA+OiNluOQ6VIr+vBeMJwcdDU/KDbidY3VfsNuZ8r73pbNlPUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAkM8TL8uCsDEX/3rjOj2/LrMax7AwbOkBAAAAAGicX7xsC8IOeHkVOfe8l29rxrfWy8MBtJPofa/l9GTFAQAAAAAw8Ex62RWE3deOR/ot/mIvL/RvHfZ4uTaAdtrr5WrL6cmKAwAAAACgaxz38oeXd17mvBwLji/3ctHLay9vvFz2stBwX7nmy9TvLV5uebnp5bNU+BEvPwXXrvByXeMT3bYa4juZ0n1c9dwZOeeo3v+SS6YyzXj5JnK/vHRnNeS/1/uH3A7SnNZnLiXHIulZpvZ5nqGrdOJO6fG3Xh54WW2MAwAAAACga52On70syDi+1CXTfSa0gbvEJW/hzxjufcLLwdRvWduxTa9Pj4Q8dslUoA5LNM7d+nu9l98N8ckIyx7tHEy6v0/z6pzzjXY6tmqaVmnHYlGJdK+N6CT3eaJxpNmsnagivWPh0mm4q7bI0lXsek51Hsu4X1YcAAAAAABdQeb9b885Lg3tcO3FGmdbCC7rOU7r/5+65E28047OAf1/h5f/j8T5XRB2I6dz1EF0klEFWVuyKeecw5FwGUlYVjLd4cLvi5qePyM2Xpejt3S8VmfoKulenKPr/khHJzbSkxUHAAAAAEBXkKlQsu5id+SYNKpl7UU4rUp+vzTce682xgVZPN4Z/fjGfRw5kE7H1iBOuffyICxcFxLTVToCv7r4lKbOOa8j4eN6bdl0S1wb9X+J806qkb801bGaNOidpeuiAl2nXTKikuZO0MnIigMAAAAAoKusdMl0HmnEpt+uf67hIZv03CKk0S3rIOTt/NNUx2GflysuGQV5FLn3XESKdmTq6LQ/1dmx6r05CLem+7KmRbil1zntaHQ6cjLKs65A7zsZ4bcNuoajLrHOVVYcAAAAAABdR97my5qGA6mw3S7+tl4Wg/9guKesg/i3m7/oW5D1HTIdShZMfx1ckxVnEdLhuKT//+jlnwXn5IVb0y26y0jONk1nh1OaZsuuVPu1A1NV1xfB8S9cMoJliQMAAAAAoCfISMFXqd8yYnEzOEfeqMsoxTrD/RZoI/i/bv5IiiwWl3UKf7q/T2eSN/q/VdBdFlen127c0kZ4eM6hjGsPVUi3rKOYcn8f1dir4b8b7HTWy78ydJow6PossKEs6L9ujAMAAAAAoOts1IZ1eoH1uDZsOztQrdIG9fES95Utek9HOiRzkfAOoscRbezLWglZaL6lIJ4pN39B9VLtwKzMOScr3JruRZqOcGRinab7isE+5118aphVV9m+94LaStZ1XI10mrLiEK5pGtjxCgAAAABa46U2OqWRPO3ib+e3aEdAvg8hi6YnSsYxow33kDcue5cl2T3qruolcR8yxhOOnsiC79up8Ng5WeHWdL+IpGNMr7OMCq3XTs6cm79rVxldpUMkU8NO6LHnQUciKw46HgAAAAAAUJnlJc+XzsdOzAYAAAAAAG2xwSVrUcYxBQAAAAAAtIVMg1uBGQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACMzHoZwwwAAAAAANAWa708xAwAAAAAANAme7xcwwwAAAAAAM0gU4lOeXnu5a2XB15WYxZ30stxtc1fXt54mfayEtN8YLGXM16eqe9MeVmKWQAAAAAgxg0v57TBKJ2QSZe87R91xA5PvRxL2eYnxyhIutNx38sPXpZ4WeDlqJddmAYAAAAAQvZrAzvNZS87MY174mV9ECYN7FeY5j2ntcMKAAAAAFCITB3aHITdcUy1ktGN2Uj4QjoeH+zzwjGtCgAAAACMhNvFyv+vMYvbpJ2yEOmk3cY8bqOXu5gBAAAAAKy8CH5/4ZJ5+6OOTEG7FAn/1ssJzPN+Kt4UZgAAAAAAK7Ib0cLUb2lUX8cs79cuTARhsnhavuvBrlbOfe7lMWYAAAAAACvfe7ngkilWsq7jqpebmOX923xZXL5df6/SsAlM8wHZdll2tBp3yaL7Iy4ZMQMAAAAAiCLfqpCdrWS0Q0Y/5Hseo76drthgt3Y+3mkjmy2G5/OJSzYiEPvISNChAdNfOkkyuiebBXS+X/NVwTXyLZc5l4wU/qad9OW4AgAAAEA1aEjBKCCdJlnLs1h/y9bJ9zQsxlrtnKSREZ8zmBIAAAAAAMog0w0fZhyTEa+rQdg+F9+EAAAAAAAAIJc3GeEnXfJl9jSnXLK2BQAAAAAGiDmDYBfs0qZ95Dst9zKOyTqo3anfsqBedvZawaMLAAAAAABWZGMFWTCetTOXbDQgWynLLl47XPK9my8xGwAAAAw7cwMk2Ae79Lt9lnr5t5d/ZByX7abfBfptoRgCAAAAGN7OFHbBLk3bZ412OtbmnLPJy3Tqt0zJYjcrAAAAAAAwsc7Lz14WFZwnW+yGu1fdcskuWAAAAAAAAJnIonBZMD5uOPecl8NBmIx6XMaMAAAAAACQxw2XjHhYmPKyMxJ+2yUfHgQAAAAAAIhSZk3IjEt2vQqRUY+bmBIAAABgfiOrTY5gn78hH6KTnZD+8PLUyy8u2Y4Vv0kWdMvi7AdeZtVG37tkdykAAAAAoGEdZZ+Xt842V35U7LNWG9VppGF9Cb95//VvmeYk29GOadgn2nm9xKMKAAAAADHkDfVDl+zwswdzfEBscTUI2xsJGzWOuWQXKQAAAAAYQGTainxjQKasZM1Rn8v4LV9elmlAMi3ojkvePJfhgku2Gj3o5Tz2+cBJbWSnkR2QdoywXT7Va8Z5ZAEAAAAGk/942V1wTqwBKY1HmWff+RbBhDYircjC2hv6/wptVGKfBNmmVUY9ZCrRBi8XXf+tg+m2XX50g78WCAAAAGCkkTfWRYtyYw3IbUGYNJLfGuMc14Zr+k33fWffnnTY7fPEfRxFeO36a6SjV3Z55PK/Dg4AAAAAfY68Wb/nkilPZRqQlvOykKlER4OwH7x8jX3eN8Rf6/8LvGz38qtLphqNql3EJm94VAEAAAAGn8UuWbT7KKOB22TDWkY17kfCt7pky9hRt88ml3xYLs1XLpmeNKp2kQ7YKx5TAAAAgOHhu4xOQZMN67su+8Nr/b6tbjfsIyMIF4OwA66/d3Pqhl1kFGgRjygAAADAcJA1376pBuRhL2dzjl/zsnOE7SOcc8mC6zQXXf6UplGwi9jgKI8oAAAAwHBwyCVbpLbRgJSvbss3OxYXxH92RO3TYcp9XEy+3CW7QMnHBBeMuF1kF6wZl4yudBa1L/SySzsl23l8AQAAAPqbzjSnd15uagehjQbkpDYS81jlkh2dRtE+HWZSccqC6mtqFzfidhFkVyv5nskrveall+uuv0fJAAAAAEaO/wETWHkZsBK+CQAABvV0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+VDwvbWk+PG1pPmg8L21pPjxtaT5lPC9taT48bW8+JiN4QTA7PC9tbz48bWk+YTwvbWk+PG1pPm48L21pPjxtaT5nPC9taT48bWk+bDwvbWk+PG1pPmU8L21pPjxtaT5zPC9taT48bW8+JiN4QTA7PC9tbz48bWk+bzwvbWk+PG1pPmY8L21pPjxtbz4mI3hBMDs8L21vPjxtaT50PC9taT48bWk+aDwvbWk+PG1pPmU8L21pPjxtbz4mI3hBMDs8L21vPjxtaT50PC9taT48bWk+cjwvbWk+PG1pPmk8L21pPjxtaT5hPC9taT48bWk+bjwvbWk+PG1pPmc8L21pPjxtaT5sPC9taT48bWk+ZTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPkE8L21pPjxtaT5CPC9taT48bWk+QzwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPmE8L21pPjxtaT5yPC9taT48bWk+ZTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPmQ8L21pPjxtaT5lPC9taT48bWk+bjwvbWk+PG1pPm88L21pPjxtaT50PC9taT48bWk+ZTwvbWk+PG1pPmQ8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5iPC9taT48bWk+eTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPkE8L21pPjxtbz4sPC9tbz48bW8+JiN4QTA7PC9tbz48bWk+QjwvbWk+PG1vPiw8L21vPjxtbz4mI3hBMDs8L21vPjxtaT5DPC9taT48bW8+JiN4QTA7PC9tbz48bWk+YTwvbWk+PG1pPm48L21pPjxtaT5kPC9taT48bW8+JiN4QTA7PC9tbz48bWk+dDwvbWk+PG1pPmg8L21pPjxtaT5lPC9taT48bW8+JiN4QTA7PC9tbz48bWk+YzwvbWk+PG1pPm88L21pPjxtaT5yPC9taT48bWk+cjwvbWk+PG1pPmU8L21pPjxtaT5zPC9taT48bWk+cDwvbWk+PG1pPm88L21pPjxtaT5uPC9taT48bWk+ZDwvbWk+PG1pPmk8L21pPjxtaT5uPC9taT48bWk+ZzwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPm88L21pPjxtaT5wPC9taT48bWk+cDwvbWk+PG1pPm88L21pPjxtaT5zPC9taT48bWk+aTwvbWk+PG1pPnQ8L21pPjxtaT5lPC9taT48bW8+JiN4QTA7PC9tbz48bWk+czwvbWk+PG1pPmk8L21pPjxtaT5kPC9taT48bWk+ZTwvbWk+PG1pPnM8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5iPC9taT48bWk+eTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPmE8L21pPjxtbz4sPC9tbz48bW8+JiN4QTA7PC9tbz48bWk+YjwvbWk+PG1vPiw8L21vPjxtbz4mI3hBMDs8L21vPjxtaT5jPC9taT48bW8+LjwvbW8+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bWk+czwvbWk+PG1pPm88L21pPjxtbz4mI3hBMDs8L21vPjxtaT5XPC9taT48bWk+ZTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPms8L21pPjxtaT5uPC9taT48bWk+bzwvbWk+PG1pPnc8L21pPjxtbz4mI3hBMDs8L21vPjxtaT50PC9taT48bWk+aDwvbWk+PG1pPmE8L21pPjxtaT50PC9taT48bW8+LDwvbW8+PG1vPiYjeEEwOzwvbW8+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bWZyYWM+PG1pPmE8L21pPjxtcm93PjxtaT5zaW48L21pPjxtbz4mI3hBMDs8L21vPjxtaT5BPC9taT48L21yb3c+PC9tZnJhYz48bW8+JiN4QTA7PC9tbz48bW8+PTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1mcmFjPjxtaT5iPC9taT48bXJvdz48bWk+c2luPC9taT48bW8+JiN4QTA7PC9tbz48bWk+QjwvbWk+PC9tcm93PjwvbWZyYWM+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtbz4mI3hBMDs8L21vPjxtZnJhYz48bWk+YzwvbWk+PG1yb3c+PG1pPnNpbjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPkM8L21pPjwvbXJvdz48L21mcmFjPjxtbz4mI3hBMDs8L21vPjxtbz49PC9tbz48bW4+MjwvbW4+PG1pPlI8L21pPjwvbWF0aD5gRGngAAAAAElFTkSuQmCC)
If the angles of triangle are in the ratio 1:1:4 .
![sin A space colon space sin B space colon space sin C space equals space 1 space colon space 1 space colon space 4
space fraction numerator a over denominator 2 R end fraction space colon space fraction numerator b over denominator 2 R end fraction space colon space fraction numerator c over denominator 2 R end fraction space equals space 1 space colon space 1 space colon space 4 space
space left curly bracket space fraction numerator a over denominator 2 R end fraction equals 1 semicolon space fraction numerator b over denominator 2 R end fraction equals 1 space colon fraction numerator c over denominator 2 R end fraction equals 4 space right curly bracket
space space a equals 2 R semicolon space b equals 2 R semicolon space c equals 8 R space](data:image/png;base64,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)
If a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c
According to question,
Ratio of the perimeter of triangle to its largest side.. ![fraction numerator a space plus space b space plus space c space over denominator c end fraction space space space space left curly bracket space b c z space o f space a n g l e space C space i s space g r e a t e s t comma space c space s i d e space i s space g r e a t e r space t h a n space o t h r e s space right curly bracket
fraction numerator 2 R space plus space 2 R space plus space 8 R space over denominator 8 R end fraction space equals space fraction numerator 12 R over denominator 8 R end fraction space equals 3 over 2](data:image/png;base64,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)
If a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c
According to question,
Ratio of the perimeter of triangle to its largest side..
if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c .
Related Questions to study
The pressure on a swimmer 20 m below the surface of coater at sea level is
The pressure on a swimmer 20 m below the surface of coater at sea level is
can’t be stored in
can’t be stored in
The angles of a triangle are in the ratio 3:5:10. Then ratio of smallest to greatest side is
A triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.
The angles of a triangle are in the ratio 3:5:10. Then ratio of smallest to greatest side is
A triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.
Consider a body as shown in figure, consisting of two identical bulls, each of mass M connected by a light rigid rod. If an impulse J=MV is imparted to the body at one of its ends, what would be its angular velocity. What is V ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATYAAABqCAYAAAA2h32RAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC82SURBVHhe7X0JeB3Fme25uxZrsSRbtmx5tzC2ARsDMTYBA4EYs4UAziQPmOENmQDzzUzem48BMgQCkwlJIMDAsCSYgIGQhQzmBQhbzB7MboxB3gBhG9vYsiXL2u/W7z9VXbqtq6vNEnAl15H+29XVtXVV1+n/r+qu9jkCuDBO79bn88Hv93f4cd+LZDKpjlt8MXCQlF8K2yGApJNEe7RF3AnsadiNG2+6BQ/99lEcNudw/OjaqzDn0JkISfMEJKY/GYDPCUIaTPZ0W+rW5K92OcnM7dwjMgVlMjqp7pEpnvg5bmQdPbXVpe2+XD0dMWfagd7K5oWnTF2xH2mb4240tiHBPHzSVkm3rwV9bDW6JQdHFaJ7pBVBwfUzZdfRO1JUe91BH80cZqB1SZjS9Ib9zavPjEQCI7lx29LSgtbWVuVOJBJKeMzK5y/CPLJlfcvW5biAdAD4YogldyGc24acnJHCXaWI5BRIC/skiIRlQJ/EF5G7mb5gmJxKkj9uO0tbxmIxfQFmkjQwmkojTTpdgF63FyacJ7w+x47dji0zp1tqoYc/BpBCdhH5l3Q7iQ6dgk68q3DjlqmvaXeK7xUDiUZhGeLJuKrvtrZW7Kmrw85du9DQ0IB4LOoGlS7qjZsJTK/P6I3SekbG2O75dMggod95efwzEhsbh6RFMQgEAorQ1qxZgxdffBE7d+5Ux0OhkArPxulO4vF4BwFa2X/RNxK2i7hlq7UrufR5m/eRvlrgC8Tlrh+SRswRrSsoR4X0BOxEnfqWdEqlBUgIn9G4JUAgFEQ4Etb7meC5eChU7DKJurL6KyqulEfEv59/Jn5fpNO5ZCoPxVOmvkrGdCje/Nx02a8ikYj0ozA++2wHVq1ahQ83bURTczPa4u0SUIfrAm9ameDxl1Kp3xS6i+QFY3X9Gyx40+zur19IC97FFPUKQTOzWSp548aNeOyxxxSxLV26FMcffzxKSkpUpXvDZ0JHg1vsF7x16xONyx+UfUcIKyk3Ff45UcTQgO173scvlz2A3z6wBjNmHIXrb7gMs6oqpU+102hFQMxQnxOSa0B6GeNLk1CXY8v4FDlCNIU44tGoavcOwlNgHOZmzCatQfGHvulQyqFyedNI3SjToThWpeSmJfvKzYT6CJ/DMro7/YDuRPKbIa4jnpnOrzuoLqlPphO6nJ+AaTNratxs46amJvz11Vfw8B//iPLy0Tj//AtQNbVKNPAcffNSkfRGFbknpB3XOffzPHrNpBv0lM1+JtktuqmPjMRmTMz29nZs374djz76KB555BHlPuSQQ3DWWWehrKwMBQUFKhzRE3FZUhscsF3Kx4zCrFkHyZ0+kiK2ZBRxXwO2CbHddfcD+M39qzHj4KPw819cjtnTJ0ibt7rEJqSWRmyUaHsUwWAQftEeaj7+GNUffICgaOJ+3rQYxtXseBWpy4VO+eGF47l8OiFFEhKY8ZVH5rAacoxBO8KIq9N+7/B3lLN/UB1YZZMh7mARG9NQ2aTS0qSZRHubmJ3iPaJwBOrr9uCRFY/i7bffQkXFOCw+ZTGWnHwKJlZOQlFRkauduwl4ke6Xtq/Pop/n0SXRPqKnbPYzyW5h8kpLN+PkAUESW7FiBX7/+9+juroadWL/8y4+fvx45ObmqrtIOBxGVO7uXpM1EyyxDQ7iYtJ/ffFJuPa6q5GfW4hkXO707ByiscVFY9PEdj8eEGI7eOZXcMMvrsSh0ycKjTULsSVkGxGLlWYm7/6pDsLxHLatX8htxf88git/cCWCfhKfBOhoOu3QncP1zNCB+w6mk7reFNKS609HJPa7IxLdZdVbkhKva76ZIrnE4jnk+KgvyzaplYn8EXlIOEnsrq1V420xueGUjR6Fww89HF8/6WSc9Y1vYuKEiTo/V4HrANPNlK0H/anPAdVlFiCjxkYiamxsxHPPPYfly5fjL3/5iyIwjpfl5eWpDkYYYuM4QU8zo5bYBges/7PPPgu333krRuQXCbEF2YJICrElPMR23/K3MXPm0bjxpisxRxFbSwexwXGJjaTkNosjnYptGgqHcP/y+/G9Sy7W43c9NhsPDqRdVZfWziEOZQL3hoyan/iwGSjSf3JyI2KONiOeiCMvP0eILY6SslJ888yzRM7GkUceiaLCIvGPIRQM6eo3TeB1W3QmNoJ3DhIRhTb/pk2bRC1+GytXrsTzzz+PefPm4Rvf+IYaX2NUmqIktbRkOsES2+CAdTxu/FgcPu8wBMUU9SmSkjZz2t0xtrW461dCbPe+hVmzF+Cm/7oKc6dOEhprk2ueNyMhNkiHIKhku81CYqOb7fTpp9tUe8ekc3E/U6uqaNIjB3ZXl5Slsw95qNPoA7EpEmNgd1egZqvpJ+3KPsTHPNatr8aKR1dg375GLFhwNBYtWoRjFx6LyooJCAVC0iY6LzVMIFuVnPyompS0bF/T6EJsBsabFcWxNk4evP7669i7dy/GjRuHJUuWKJufd3pqbD3BVvbgwXHickfnmIxoyQirO74jxBZN7hNiWyfEdi+W3/uaGmO74aYf4LCDpkgjt8Ev8TQRhiSeX7VZanJAa+ps8Z40b4vPEw627dyGp555ChvWb8DBMw/G3LlzMXbMWBQWFCHkDyHglzYji7kjP5bYuke3xEbNjYe8pEUNbsuWLWr8raqqSk0eMNyIESPUYx/p8JKjxSDBx2fYElK50i5OUIhI6lb8mlobsLNuK26/45e4Z9kKMStHYP6Cw1BaOgL+ZFyITTTxZBBBIbZp06bjzDO/gcmTJ6sJAz7iYR4nUe0t7aVGf9hs5uoQv1QrijvDVZPJr1uoxPoTIUuhNNe+QZ2tp5I4xsaK4I2G5ueHn2zC7t27MXLkSIyvHK8eA+EstbSQ0tYCAc5qi6ZmhrTZ9O7WpG37mka3xEZkOkQ/anDe2VBOJBgCNHG8cW1lDyZ4wxFy49XMNwlIbOIXjUexu34vbr3tNtx5xx1oqm/QwdPAVjru+EX48XU/xlfmzxeNO6ZmQL0tTS0w6Wkz5UonNm48kbhvia1nqLNNIzbuqefv5K+2fhfy80cgL5yHqGjh1KHpT1NXhWFeXrNXMlZ5y49J2/Y1jX7ZHYasSGT5+flKU+O2tzE2i8EEL1x1uZNrpN458B9TD+y2tbQCfHDXvelkAkmLJo2aDIqLWStCtzomQmWAW4ZTWRk3t64Qauv6GzCcCWvRd8STMbUtKiyWmwyneeKqbhVJqW2XqrboBf3S2NL30+8O3DdhvGHtXWQwwfEwY4vwhpJELBZFNBZDY1MzVq9+F+urq5VWbZ7p5IAzW4PKHQedx46twNFHzUfFuHFK86bGxrcNGEaJhHOUJsgLhD/K1dG5Ui73UKqp1X6fNLf0iEMVUlmp2ugZ6mwzaGyMz/6iRjllh356xFODz+f51cPHkpfV2PqEQSc2QjWSJ6yt7MEE61ZvpWbVlmNjFI6XkagiYc5+do8EH9eR6GwjPkLiD/gRCAZVikqYbEB+ZEe1nLSfzk134l6JTTv7AE/EIQpVF309DRU0FVg/oOuoMTRqbaS5oJ/twD+P1s2JIkVsbn4uOlx0uGnbvqbRI7EZ9BYkvTLTw9vKHlz0VL/mmDcMj6f7p29VGO67STneNqNTRBOb/jNIH8twgx5Y0FXYO9IqRhNY18hsE68/65tjbEpjc/264ICs+O6Rfl1aHCAgkWUU9g61Te8rttdYDB1YYhum8JJV+r7xIzq53R+9pUOLiuP+WXwBUNXu1rsS19+iz7DEdoDCdBrjVr2HfvxTW9ntgxCZ/PYfyiDuowx9uDXu/hm/dLg+3c3KDE7FDyv0aYzNYujB26wkqkzN3OEnncJ7VLlJdB6YvVT36wz6Zj7SV5gSdC1n9xh4rtmE7sbcOtOeRV9gNbYDBEY780JpZspfhFtXMoUlMvtaWGQfrMZ2AKN7ja0rhfVGajw+MOIzJejP5TjwXLMJX4TGxseCiL6+E6zKk6FJurv5ZQsssR2gSG/0nvbTL+FMl/T+Xea9laI3MNfs7mD9QSZSM+gfsTEdHT7B5xtdEuMqLqa704/kxP10kqIfCVD7Ss7uw9rpyGZy8/f3UrIY+mCb99buvGSN9Ib9v7xNSfpSouGP7shrINpaNBpHQqrWkJUWT113qnaGcRCPJdXL9wlGlH2+6KJFp6FCSnrpkk3wJaREfb2ALYYHeAkO5DI010r/r5n0XAfaGeyV64WuTdG06DDv0wm4Sy5zhKjU180crqHoQyDIl+9Tq/cQsVgC8XhC/JMISBgubeWo5ZKI1CAFtbV0jS2bNDhfXGiYp6d21K/FcAcvdN0J9g8dF7e77R2ZchtICQxYAnvVdq5JIa5kAnW7alFXW4eoEJw/FELZqFEoKuA3EySIE1OrLre2N2PHjlq0NEeRl5OL/Lx8jC4vRzAcUh/0CZLzJH5Sfe2MNT2EiK09GXf4YVbD721tbeoFaqNa8iMf/MYBlyUyKqddjHBogy07EFrpuLjdbfcwOWXKbTA6AdPIns70eYDv/vKzl2aZMPY9LsnPFXYMElTHFNGwNpJoaWrAvXfchd//9g/4tKERkeJSfPfCf8C3ly7F6LICIbe4hEvgwzVv44Zb/hsvrHoL/nA+5hwxH5f96/dx+CEHIZmIC0fG1at1SfU5R/0IhSI3l8CymdgC/371VT8KCCsnRP2sqanBU089hWeeeQavvfaakvfff18RnalMEls2n5DF5w/T2j23uiGzTKRmMNDrhvGH57XHfsYPJ3PV6ieffBIvvfQSXn31Vaxdu1Yt9EqFgwtSkujIeRzgZzcksbW3NmHlk0/huZXPYdueOuyuaxCCiuCwQ+ehvLyEr9zD39SCDx57Cn/84wqs+fAj1NY2wxk1GQuOPRZTx5WptPxc0FRpbGKKiofy8/T1bOYBNcbGD/C+8dZbWHbXLxWpxbn6g8CQ2JgxY9Qn9y699FKMEpXWHDOwxDa0wJbriW56g2nt7lvd5OCVTKG9fvtzDTHO/sTLflDJeOihh/D4449j27ZtahUWDtybRV25dPhVV16Nw+cdodZwM0NlfiGtpobduPm6n+DBB36LzY0tiCKCGTOPwE//43ocs3AWcgMtyKtrxD3X/idu+s0D2CbxGpIjMOOkc/Cz/7gMSw6fAr9wgi8ZVaQW8/GTjWK9ieilEjSymdhEu3Tw1urVuO3WW/GnP/1JVeKuXbuEwWvVMsV08yPJv/71r3H//fejvr7ejWphkQnmwu9u2x16O37ggN8VYX+7VfrkW6JwbN26VfVH9j0uza8sK9HI/vMn/4n31qyVqnNnKt0/ukLBAILqkQ4/KqdM0cv6b96qwoYCfvWl+S119Rg1phwHT6mkeiaE6UdQRN0uJF7HTSN7+KrP8O+o24MV/+9RPCakxm+HGtalRubVylihDz74IN59991OGp13azE0MNDW6ohPh1cUMnl2HExDetjuwh04YN969tln1Td9qVRwn+YmTU9+V8SMb1N749fEqNG1tLUqP/VYh5iifp+DSDisJhFCoTAWLDwGZSVl+PijD7FX+jhDbdyyHVvrmjB56lRMr6xQmh7jMl22gqbKzi2TEv7SIVvXmW3wvfzWm87Prr8ej694BGpNdSG2dDOTlckK5tffL7nkEvX5PX5f1ITLJhXUondIMw/oelStLQnI1aL2O6dGNw+6WwVue7tG3OMsXJ/BsP0Jn52gack+xiXaqZXdfffd+N3vfqf2DZGxj1HYDwkSHZ8zO+aYY/HLXy3DpOmTpO64UGUb2hrqsOzGW3HXncuwPRnApZf/EGvfWItkazv+/crv4ch5M3D3fz+Ixx5+CqeeOAd7dq3D9Q89jarFf4sf//AynDRvCkLxBAIOTVG/a4r6xBTlYyAG9NFXgOn/pumygQ98T7/0snPTjT/DX55+Bk6ssybGwgdFpWXlclaGBS4vL1djbrx7mBPIhhOx6DsU5QygycwiE5mTMPd62fYnD5UmI/QnUn/DZyfYf0hY7GPc7ty5U5me9PdaRV6FQysbCRw0fQZuvvV2LFx0nPRJH0JoRdve3fjlDTdj2d33YWcoH5ddcz121WzHX1c+h3+8dCmOO/ZI/OKmh7BmdQ3+8dtfxeb3nsUP73sCB51xEa77wWU4ce4UhJ0Egi6xxYXYiBSxya9cQPqFBE24RHYR28t/VcT2zFNPCbHpgpv6Y/mCcjeh7U0V1Xz0g+BdxpxANpyIRd/B5rXEll3g5ADBvuT9lGUmYuOW4bg7ZfI0/PzGm3DC17+OcNgvxNaCtvrduPPnN2H58ofQkFeCq396M5x9bbj3jjuw5PQFOOroQ3DnsqeQSJbhsv91DNb85W5cdd+fMfnUi3Dtlf/mEpuYtEJsfNwj4eO0AYkt9ZqVl9g6QB7gfxbwge/pV1Y5vyCxPfmkGPgpVdPvd6dZ5AT5BDLvJPwq1Yknnijq7zHq2TZTwYQlt6EDl5cGjM4tblL1bkV6uiw6FcQE7M91xLD9CZ+dMM+IUnFobGzE008/rR7tIAyZaSLT5EZtjdLeHsXcOfNw5y/vxqw5c4Rokgj7hNj27tHEdv9vERs5Fj+55Q6MjuThp9f8EBWTijFzzsF4+In3MPPQE/DDvz0GLzxwLf7tV49i/NcuxDVXXo4TDiexST6K2CDEprmAX2PQtS2/2U5sqzd97Pzs+h/jd8uXSwULJ5PcpGDhSERU4yQSsaj4+9QdhV+A/8lPfoLTTjtNfcy1P8SWDSdrodGJTwaAzi3qElkHjLun3DJdE/25Thh26F9X7BskKlpFnL286667cPvttyuT1IDkRzAcQUUjLzcP3zz7HNxw440oKi1V/TXiEtvtN94sGttv4CufiJ/ecivmThmNa6/4Pt79oAa5JeOxaXczzr/4n/Cj84/HYzdfgctv/gPGH/MdXPXv/4aFR04TM1SIDUJskldC8qSW3kFs4lbja1Ju1QKa4ZR2p45kQ1/fF0s6dy6/1xk7caITiuQ44Zxcxx8MOcFwxAkEw47PH3CkMp3CwkJn6dKlztq1ax2pVCeRSHQSaZRuxeJAAJ+IzCSxHiRT+P7I8Lu22F+qq6ud73znO+QUJex/QhbKLWaqI9aSch988EznT396zBGlw2mV6miOJpx4rNFpqv3E+dkV/+JUlZc6h8w50nnixRed5oaNzg/++XRn8rjRTtmYmc6Ig+c5V//+YSeWrHPuv/oCZ3wk6Jx08kXOypc3OU1RppV02qLtIm1Oc7zdaYm1O+0iMdmnxOVYQvZF8ZGmkLZMxqXsmgeyAf78oA+nLzkF3/3u32PihEpE29tEa4tBCo5EXBg7mVBvHZxwwgm4+OKLMW3aNHXXkLgdajJh9q1Y6SKZ/jKFs6L60vTp0yFKBI466ii1L2ShjlETouXU2tqqrKelS8/FwoUL1Qwpo/KtAPXFeFdz0mnypXi/aHwRVFRUSl8Ooa11H0aXFqOseAT4cEebE0Rr3H3Ugyt4SFp6aQzRDiUtJpcSV1PjYRfMm/GyCYErrrnmRwX5I6QyJ6O8pASRUFBVUEtzI0pGFuOII+bh1CWn4lt/8zc4+uijO42t6QrsHX0NZzGU0d2FLf7dNv9ArwvGH37XFvvX2LFjlRJRUFCg/EhoNEcrKyuxaNEinHfeeTjnnHNVOPYvPs+gzcU44u0teGPVa3hn9RqECkbipMWnoHJsMZoa6vD26g34ZOsOfOW4o7H41JMxsaQQm955Gy+/uR4lFQdhwVcXCgGWqfGzABc1ky1NTHZhfmqWtU1JwZCce0SF7Rziy4CvSdRXH1oRkUprbWhETc0n2LBhg3ogN18I76AZMzBl6lSMGl2OUCSsrlM/n0pm4TtOiLvdn4wltuEGQ2Jm2xN6CqPHizKD8Sg9XTs8NvyuLaM4cByNbwLxfW2+bWA0tVmzZmHSpElqMk+NzUkdRDkJLfFy0IbWvbW45ec34p7lv0HxpBm44bbbMP+wCVjz+gv40TU3YeULr+P8f7kUl175fzG7rBiP3nU7rrz2DlRUHYcf/fgazJ8/Q7S3BHIiHPujTieJS9p8J4HkqWfFXUIT9lAvKcjWUWNtWUJsbWJL+3zNCIgqGUi6F4pbQFViVcY0P1Fv5Tz7PFhoiW24QV3Znu3+wL2eukVf8ugtjaENQ3AGNBUJEh79zYRCQignJtUUkPCRZBvirY14/ZVX8Obq9xAqG4eTTj8T08eVYvvWajz9+LPYUrMNhy5agCOO/yrGiQW24Y038OSzq5FfWoWvL1mE8ZWFaI86Yray2zNPEhvpU8oiPMEH+Vnvumip/p9Nkwe+eFyIDc1c+wTqM/rKVwqmhMTmFlLRsutHYhO3vuQssR146Avp9AZeEz1dF33Jo7c0hg/48C4fB+FL8GbMzcyQktjiUk0ktrAQG5Ixt2pCiAZy0C7ufAmaTOyDPyqhfWHEhLTaxC8i6YbZ7wNi8ko41nacKySJlztfIc6Eyk+BW2ppbr2zbyu3iku/3vngi4Cfj3LQtNQztvpEuko6WHj3pCxpWVgMKkgiHUQiIKm9+eab6h1So615+x1dpDjlY/z54qgQX1j6d450bqoi8AflXxiNa63FY6LIaMuLRJUUL3qLVwdIWPxTKTNdEWplNDmV0C1HqcClSpsdEANdiiQlE0NUCm6E1WSqyitepO9bWHSH9OvISE/o7fjwhJfUzJbPs/Gl+Icffli9GM/1EY1ZquGlFapa0of5gL1Lcnq5Idn6ckUzCylCCso2VzS3SDAHCIm43Z1KoFkFiXG6toL2UTmK05BaJvkywdORQrAyRPgYhxqM9IioqcrsVCXlSUnFK6amW5+khUX3MNdJuvQF/Q0/9GE0MS+5cdmwVatW4cMPP1TbLpaShGFHVp2Z/iS1IF/LEh/ynyRFzSupdsQViUh3D8lRxiDtiSvAZYtSlEQLjkeZixb3lzyhRPZdUeSmDrv74kyl9OWAD71IYQJSCApJLOWWA7qwHVvCbC0sLD4PcOzMEBdfhufquVyi6L333lPLFFGD66SxKRYRhYNuRqPa1dFfBXJAz2aqgyLUxyhuH1f+KhERL/RIekqJ0aRlkB46m8AZXCmgnKCwPL9G47iamxY5edmnnzpFd6tP0sLC4vMASctoZRxbe/7559XEAb99QO2Ny4Vz3M2EId24PdR1GSHcHivkxQd12eWVqUpicyj0IwmYPs1YJE1X1RMwB/5yryfJJvCsXOjCmzuFhYXFlwOSFsFvHrzwwguK3Eh2fDiez5dy+X4uCkuoMTmXWjrrU+kwx3Q/T0nvMKHSY/Ul9pdFeH5WTAfzu0KkE1z6voWFxecDs2wRx9NefPFFRWrma3GcOOBy4TRNjdaWiHM6U1OIIjrlZH8VrU3te8zW/YROja9saeGXRs2f8UsHi2Hki4ZHY0vBkpqFxZcHmp179uxR2to777yj/EhiNEX59sHHH3+sljZqbm7WxKVCGLCvGjlw0S2xecXCwuKLA98ooFb2yiuvKE2ttLS0Yyn+wsJC9e1fHuOkAglPf7lKdCbpqlrYbzv34wMNGYnNwqJnmI7CbV9kIDDx09M0MvxAjW3lypVqFpQvvH/7299W74eaF+C50Cu1N35VjppdSmvz1kl/60bCcwLBSEda3Yv56+zfeS/l+8XC72X17tg9U5j+iMVwxBfZrgfONUSS2rhxo/oo8pIlS3D11Verb/ryQ0rU5I4//njccsstOP/889WL8S+//LLS4HzmEQ9XvByleUp+1MNprii/NPHiyxgYG0RYjc1iAMjUO9JlsPB5pp1d4Pd8TznlFFx33XWYO3euWq3avBdKs3PGjBn47ne/iwsvvBA7duxQY20KPVVNn6rLm8D+SAqZfb842DE2C4ssAvvbnDlzcPrpp6Oqqkot8mpIzYCaG9dhO+OMM7B48WI1i0pNL73feuVAg9XYLCyyDJws4AKTXFzSPKxrQLd564BhuNou12UbdPJKS87sctsX+bJhic3CIsugJgNEqKlRO/OSFv14zIDH0jW6/UYvzJQNhNVXWGKzsMhSeEnLkJmX5AwBfpHwcl93kg2wxGZhkUXIRFQkNxIahc+1GbIzfl6ys9CwxGZhkeXwamaWyPoGS2wWFlkEQ1rpBMYJA5KbJba+wRKbhUWWg4RmZkKNWWrRMyyxWVhkObza2qDNgA550DTvfuLE1pKFRZbDO8Zm4YUlNguLIQMzjuY1OUlsXMmDL8hbkiM8ddDhpEPvWGKzsMhyGI2NJinfRhgITFrDA+nnkdq3xGZhMQQwGGT05RAa8zTSE8w3FnQ47unpkpRf1xRSx9Jhic3CIsthCGkgs6EmDW67k8GHIR6vuOi0S4dLZe4y5h3ExnK5M8KdoqTtpcMSm4XFAQIveX0+RJYJPZBxpkNqATlNaqqE/BE/teF+B4xPeiI6lCU2C4thDq9WZsT4e5EpzMBA0jGShgxeGprEUhqbBHTJjv66VJ4QLKf2FHQ4LLFZWByIGFwCM/AQjodkNIuRarxs5g1H4gqK8HunOgzpTVMc973xTMr89ebRGZbYLCwOACgSM1sPoaXv9x+GYEhS/B4qxUNs5rARhYQ442qrPOlveM6FX44F1HENfsmetCcF5U8qqW5gic3CYhiCRJUUMR9f5rpuRvh9BDMR4aM21IUlqC31FQzJBDRZOYhJ3lHZd1mKh41oTpL/qEiT7LRrDx5zP05PN4sWknQCTEP8EsKBiYSrwak0dGJJEh8Dd7CYR+OTCmBQCwuLLAU/tXfttdfik08+wRVXXKG+ddDTq1Wq75PYkkm0NbeiYV8Dtmzdoj62PH16FcZWVGiecZJCAOKiiEqkuU7FFqGfJ4+OYwbKwwWfrYsLzZCw4mhvjmLrJzuwc08L2qJBIakQpk2chMqJpUj6k3D8jSIN2NfQgq2b96ChTvSzthEoKi5E1azxiITj+OTjN7FzV51Yp5UYN34axlXkIifsQzIeUN+iSfrasK9pDz7aVIuG+naUjynEhIljUVBQJGXhB5wtLCyGFUg/CSE1vzBALB7Fa6tW4fLLLsP3Lr4Yz6xciea2ViSE1KjzKKOOdp6K5ZqQar876GMmBuPrP51ee6wNjQ17cd89d+P8887D+X93IS78u0vxwL1/QsPeJKJxvvcqRJhsweuvv4zLr7gc5y49D2ctvUjcN+Ojj3dhb8M+PPnYClx80f/GP3//Mqxdt8nNTTRCR0SILZGMorr6fVzzw2vwtxdchP++7U5s+nC9+NPEtaaohcUwgaEa4QzR1prbmtHc2qw+BuMkkmhpbhENaS/a29qE7OKIkwCEwByfEA2JzAgZgZoaNUIqZUYU6FABUl4KzDeJIPTXtIJiEbZL3rt270LtrlrU1tZj08Yt2PJpLWJiPVKbjLc2YkP1Wrzz7jtyfA/2NbbItlEIN4DikhIcOmsG4rF2bN+2HevXbURTU6PKx/HFRVuLC0G24d017+L996vR2tSO0pJRGFUyGgF/UJXIEpuFxbCA1rZIMRw/y83Nhy/gIBiMIhxJIOYLwAmLmRbOhT8UUmNtJDXFW6IC+ZSWlsDeulpsWl+Nde+vRbWQRvXadSIb8cH767D2/XeFTFZj/fpPsHdvVAiUOXLky69ojaNsOYE85ESYbj0cIR9fwI+c/Bw0NdZj955a0bkkRyHO9pZG1O3aJfmGkJdXIr4jEAiGVBphYcZJkyZgziEzkGhvwZuvr0J9fb1oYzHERFMTvQ/NEn/dxvWoa23FlDlzMXf+0RhVNgpOUo8pWmKzsBjyIClpaHrSI17hSBD+YBOS/jo0J31oTI6EEylSx6OisVHv4miUnkBw0N7eiCeffAwXXngBzjjjdJx22mkiZ4icjlOXnIqTTz4ZXzvxZDEx/wkvPb8WUY79C4Q+SUdoFc2wXUgnGt0hadUg4RffogJMmjYODY2f4t333kabmKKBQBB127ejZsOHKCwowcRJUyW+UKSYzvEEDVqgVEjqa4sWoTAngPUSb+PGj7CvtR1OgF/timHbZ5/ig/Ub5JzimHLsAlQdNgc5OULmfk4gWGKzsBgmIKVpguNvkhMDJAsfZyjbhMz4AEWOmHFBEYZxyZAqmzgdIYhoe7NoRruxZfNm1NSIbK5BzZaPRGqweWsNPttRiz17duOTmh2o29MsGpTOq5PW5giliFblc6IIhIHi0WWYMXMagqF20bDWYs/eBjnux/bNn2H3Z3WYOnk6Ro0qkxQSUi7RyMRMjkm6ubkFGF85ATkhoL52G97/oFrIsVVI0Y9mIeAP1m3Ajl11QE4eRlWOQ2l5iWYz9/UrS2wWFsMWLnlJNw/wEQ93T7GZmKvmKMFhtUhuGCNLijFm7BhMnjwBkydMwqTKyUomVk7B+AnjhGym4KCDZqCgSMzaTuyhyc1RD9rmIJAMC5nRDB2BKdMmoHxsAT77bAt27azF7l37sK56O0L+Qnxl7pGoKC8TwoqJadyKWKIN0VgCofxiiXcQDp09HW3NdXjllVexp74ZAYQUub6y6g1s2b4bk6ZOxeEHT0dprmI1EX1WltgsLIYD+NQWRaAIjNylXQoBITK1z4ExThrIX5J/bhxOFoTDESw+5RTce999+MMfHnblj3hYZMWKFXj8iUfx2OOP4le/+jkWHjNLyEhTCcFUHKEdil9IzZ8IgfMTbUJShcW5mDBhpGh5O/DRpo+EmFqw+dN9yMsrxSFVM1BSnC+k1izmc7PEj+ln7wJ5qJw4FccsPArFI3OxcdMmfPzRFiG9KBrqRWOr/hgtjVEcOe8IHFY1SXRFgU/iKUYjxVpYWAx9CBm0t4jGI6aYWG/wq2fQhGgUcQndyD6f/9KUloI6roMIfMjPy0PF2LGoFDNw0iTR2CaJxibbCRMmYoL4VVSMw6iyEjXhwIU4UtTpghpbMkc4JheJeADhnFyUjS5AxbhcNO7biZoPa7Blax2qN9Ujf8RoVE2oRGEetb0GJHxNCIa5/Dmfyg0ir6AMsw6ZgeKSPGzfvh1vv7UGe3bWY9O6Guysa0PplNmYP/8oVIwqEDqMCcm2SQHs5IGFxfCAS07UdHbX1WPXvn1oj8XQlmxFY3Mj4qI1KVOUD4CJxqYnC8QpbkZNMHo8jkS0FU/9+c+44IILcO6552Dp0m/hW0uXynYpzjnnbJx++pk4Q+R737sSr776vqSrCYTkRmHKtGn9TlhM0YhodDkoHFmCUaOLMGVyCXLCDtZ98AHeWb0Btft8QnbTUJyfh9ywkFGoFb4wZ3B9ahyNpAiJP3HKeMydN0s9k7daiG371s/w3upqbN+xF9NmH4GZM6swIhAXUmsVjS+KuMM3H6zGZmEx9CFk0haNYeXKlfg///J9/Otll+GTmhoE/UEEggH10CpJR2lxQmKKjNRrBprg+BNPJtDU3IzNW7bgrTffxksv/xUvvfSSbCkv4oWXXsBfX34Nr7/2ishr2Fu/lxHTwDE2ISRXfGIg5kRyRTMLYeLkUZg4oRybqtfhiSeeRXM0gmlVs1GQE0JeDhDMdRCMUNMUkhNicjjD4Q9h3OQJWHTCQuRKuDdeW4VHHnlUyrMKze3AjEOPwPiKCsmlTfLiYyBC1mJmJx1OlVhYWAx5JET72lW7Gy8KAT35xBN44/XXsW37Nuz8bA/WrfsIDQ31CIUchII09dzxtg6IqSokGAzlIC+vACUlpRhZVIyRI0diZLGWkuISFBSNQE5ugWhgI1E0coQaY+sMTZY+Hw/4EW0XrbE9jpiQ7oiCPJSPKsW2zZvw9ttviMWah7LyscjN9atXpULhgOTPuO4EALVLR47lFWP27FkYWzEWjU2NePDB3+Dd1WswqnwMZh88CyVFRWoGlsZsh55mNTYLi+GBSDiMsWPHqrG0+p07cdt/3YZL/uGfcImYjQ89+Dhqd36KeXMrMXXyGEQCIYT9Aen8QiQkORG/P4zcSBm+duKp+MVNt+Cee5dh2bK7seyeu3H3smX49a9/jfuX34f7778HP7/xKnxlfhUkSwXSGYkkR35yxIyMRMJCopI+316QI8lEgWhmUzC6dJSQYQPa2z5DXmEY4yaNQTg/oCYEYk0JJJqF0OKisYn2yMdVyG/ACIweXYVDDjlUNL8wtn+2XUzoBL562DQcOakYhZKFL5kj5q+YvghJWYKSpZjDjGphYTGUwbGyBCZNmYzjFx0v2lEBNqxbj2ef+AueW/kGNn24U7SvfCxe/BXMPHgKcsQMpaGodDb1KhX1naCYgbmYOKUKi089A2eedTbO/OaZIqfhG2efIvuyPfNsnHvOuTj56wswbnwB+aMDTCsiP/zYTCIehz/oR1jMx5KRJUKYJQiHxmCKpD1hYokEbhONL1e0rhIkA2I20lyOSnkSASmX4iUopY9KW9yPoqIKHHfsIhQV5IpnUj33tuS4+Th0QikifCfWyZHTiIiERbQaaYnNwmJYwI/Kykpccukl+M5556G0tBQQs7NQSO7Yr34VF/39RViwYCGKCgvVzGmUawEpclP0pkGnen6D2hLNQXF6RX70y+46mBqmc0E/zkfGRONqi3IQX5Qv0cT8TlzMXCAQjKCiYgIqxlZihJShcuxojCwrBvJykV9cKCZpjiQqhCiJKlNZRBfNUe+7HnTQNIwuL1OZVoyvwCGHzlbmMrVCWq0SS4R0zS0nSvR8sIWFRZai12WLpAsn4jEEQiH1StK6jRvw2hur0NrSjOL8QkyonIiJVVPVuFRuMIR2Cct3KvlOJo02ajnkkA6i8pPYlI/eN1DPvymHu+0MUiXfHPDv3YbVrz6HVR83oGL20ThuznSU5zmo3b0T71VXiznZihmz52P+EdOFzGqxccMmvPjKehQWleDEk44TLW+klCqFeCyO2r178Mabb2FzTQ3GlJfjuEWLUF42Cgk5dy7PpMuuaZrkaInNwiLL0ft6bEnVufn8F1+kiiUSnChVD+WSutjFhcrU+Bs7fpxLFonpGlBk4JKbuNQu0eHoHYY8uKUWxzXeQtF9or61oz0kpqaQbYhHo01qssEX4FN2op0RUi7HxwUnWcY8RUgpMEW9z3PjJGlQys884iRPNS4o56vG4hwhNobVxEbx1o6FhcWQhO7khly4Qi534omkkFwcXJuNHnzai6tnkEBIcoY4GG+gMDSkSsHnNsL5ko+UR+xTPkricOUOvqfKF0y5dlG7xKFJLDHEYBXyknKKGZuIk6S58q8ma4oyNaW8NHWJYDAo5q2rZdLDJTX3dBQssVlYDHnojq3JxX3UQTq7p5+7ITIhzTdzoG7B/CjUFf2iBbIMDpdI8olmJqYrFzMSfUzcUirlz8F9TbREUlEhtUaTtZCaaGEMwde99IieOdYVJDwSqA6VgiU2C4shDkUmyuV2fyEEv3gYw4zHOPnJoTPtT5AN2P3p4Y6dudF7B0MbIQWJLiWkxn2mSLJKCIHRwA1x8kD8OaDPo0lqliofLidOAuNbnkJ2fCOCJrJKU0OH07kQ3RdPztQclC3NUktsFhZDHN4Or9z8yeTp9SPS9w1X9QgTSOlU9OgKputqjF7pAHdcFY3kp0LSfHb9FAtTFHQ6PRdMh/DCEpuFxbCCSxTaqTQZ5UOi0Tv6kLuv/FyIoqdpi1sl1J/4R02KQlPTuL3H5C+VjEpTzUwaoZ+kp7hKtESHZql6nIPTFvqP+46Qm7JYecgTnx4qqvrV0PspMBfzR1his7AYbtB9W28UMajdviGdMVIs5wq1NAYw23TQz4iA+bsFoJMGqVqG3C2TNlPT0+lPgTPDEpuFxTCD0luERcz3Q7XW4x7cb7hkpdQuQ2pphOSqZT45TmGeSjsTYRlodmrCESqjv8AvRElJFU9F0jIAWGKzsBgmIBUYOug/LZCUZONNpAPiofy9AYz0gF4OExlT6UPSvcESm4XFMIDhghQfdGYGpcX19Kc0OwnXSYy/CuH507qX16fbP28a+yGSxH7BEpuFxTDDfnLBsIIlNguLYQiSm+g8HX8HGiyxWVgMMxga0+TWN8kMMznAbfehOqNvKaeQHl7TcIeo+QjxM+I9lkEMLLFZWAxDeDt5X9B9eENuRDp9pKO/uXYGaavLnxprk2Ou9AYTxBKbhcUwBTt5X6UrSGheUvMicwyNnlPtDG9YHT7dp79iYJctsrCwGHawGpuFhcWwgyU2CwuLYQbg/wOLwfV26XMpbwAAAABJRU5ErkJggg==)
Consider a body as shown in figure, consisting of two identical bulls, each of mass M connected by a light rigid rod. If an impulse J=MV is imparted to the body at one of its ends, what would be its angular velocity. What is V ?
![](data:image/png;base64,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)
11H2 1H and 3 1H will have the same
11H2 1H and 3 1H will have the same
The sides of a triangle are
and
for some
.Then the greatest angle of the triangle is
The law of cosines generalizes the Pythagorean formula to all triangles. It says that c2, the square of one side of the triangle, is equal to a2 + b2, the sum of the squares of the the other two sides, minus 2ab cos C, twice their product times the cosine of the opposite angle. When the angle C is right, it becomes the Pythagorean formula.
![law of cosines](https://www2.clarku.edu/~djoyce/trig/lawofcosines.jpg)
The sides of a triangle are
and
for some
.Then the greatest angle of the triangle is
The law of cosines generalizes the Pythagorean formula to all triangles. It says that c2, the square of one side of the triangle, is equal to a2 + b2, the sum of the squares of the the other two sides, minus 2ab cos C, twice their product times the cosine of the opposite angle. When the angle C is right, it becomes the Pythagorean formula.
![law of cosines](https://www2.clarku.edu/~djoyce/trig/lawofcosines.jpg)
A cubical block of side a is moving with velocity V on a horizontal smooth plane as shown in figure. It hits a ridge at point O. The angular speed of the block after it hits 0 is
A cubical block of side a is moving with velocity V on a horizontal smooth plane as shown in figure. It hits a ridge at point O. The angular speed of the block after it hits 0 is
A uniform rod of length 2 L is placed with one end in contact with horizontal and is then inclined at an angle
to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be.....
A uniform rod of length 2 L is placed with one end in contact with horizontal and is then inclined at an angle
to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be.....
If the sides of a triangle are in the ratio then greatest angle is
If the sides of a triangle are in the ratio then greatest angle is
A straight rod of length L has one of its ends at the origin and the other end at x=L If the mass per unit length of rod is given by Ax where A is constant where is its center of mass.
A straight rod of length L has one of its ends at the origin and the other end at x=L If the mass per unit length of rod is given by Ax where A is constant where is its center of mass.
In
then ![4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals](data:image/png;base64,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)
s denotes the semi-perimeter of the triangle ABC, ∆ its area and R the radius of the circle circumscribing the triangle ABC i.e., R is the circum-radius.
In
then ![4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK4AAAAQCAYAAACPzETrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAtdJREFUeNrtmjFoFEEUhodDJEUIiKQIImksgkUISBARO6sgYmMhwSIEROQQCYJFCCIiHBYWdiIiFiKIpApBEAlySLAJh4WEQAqLEI40cojIcRDfw39hHebt7O3N3r4Bf/jh2JvZ/W733c57b9eY8nSL3DD61ABbbNyxsvuYVWmavKmY7zMYY+OOlV1iDq5L5MMBQWcUX/wz5KZC7l/kWqTsRZiDapT8bYDAncFJ1K4mTqgW7lPkr5GyF2EOrmfkxQEC9zG5HkHg3rbywaq5r5DfRMpehDmozpM/4nNW4C6Tv5N7GHcv9d178oUC80KJl9oH5Da5S26RJx3jzqV+qwbu+zgOs++Tf5M3yBMRsCcrNf+B9nDeV8nHMpiD6SiWqklP4PKJeI7xLnWE73zzQmmN/BQnjYP4Le5mrt/bUcTNnLsIrIT9iXAX1sbOQbtFfkQew/HuolaSmNM6zOHMtkXd2plUeF3M2E+v4LwQuoYASOsVeU4Y31XCzdohn7a2jWVcbE3sDdwsfOqGPvC0I7mXAvcq/l2X+wxc37wQ/8ANLElpfRJShbwXfxjcNXQUbI0MGLjDYj+w0oKhBe4XVLV5Atcg72oiUEZzpgq+eWW0k/jzz4zUqKOE+yz27ctlNbLP5mx1lZIqFJk0gpz4urX9A4o80+e8EDpwFJtbwlg7KKrk5hTnpWP7EnlFOfscCjGfSivOTB933EQvyPMF2mGueSG0h4uUiC/6O2FsHawauDk/XBCK5Qnl7Nyb3c4xzmauLHB5ieAHFcet7b5muDQvhB6av33oGvLa1+R1YWy/TfwyuVdRnCWF1AlsW4iAndVCR+EICso7jhWg9AcQWYH7A9t7yJmmhLmb5t9n03nnhdAyOgsruPu2He0w6RFkVdxtFFA7OFZLaOFpZGedRBHcwyqxmJNZnTS98DEutIn+v2RTPbNK3TQ6Xw/kPOtGhNyxsvuYC+kPiEEjVD5ArgIAAAEIdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjQ8L21uPjxtaT5zPC9taT48bW8+KDwvbW8+PG1pPnM8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1pPmE8L21pPjxtbz4pPC9tbz48bW8+KDwvbW8+PG1pPnM8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1pPmI8L21pPjxtbz4pPC9tbz48bW8+KDwvbW8+PG1pPnM8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1pPmM8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PC9tYXRoPp5scUAAAAAASUVORK5CYII=)
s denotes the semi-perimeter of the triangle ABC, ∆ its area and R the radius of the circle circumscribing the triangle ABC i.e., R is the circum-radius.